Green’s Dictionary of Slang

snicker n.2

[ety. unknown]

a drinking glass.

[Ire]Tom and Jerry; A Musical Extravaganza II v: Waiter, a pint of black strap and snickers.
[UK]Hotten Sl. Dict.
[UK]Sl. Dict.
[Aus]Crowe Aus. Sl. Dict. 77: Snicker, a drinking cup.

In derivatives

snickered (adj.)

(Aus.) drunk.

[Aus]Sydney Sportsman (Surry Hills, NSW) 27 July 4/3: [H]is mixture had got in its deadly Work, and his guests were inebriated, ‘snickered,’ ‘molar,’ ‘boozed’ or drunk ‘boozed,' or drunk.